Question #286383

Hellium takes 5 seconds to effuse from a hole of 10dm3 containers. How long would it take for oxygen to effuse from the some container at the same temperature and pressure? 



1
Expert's answer
2022-01-11T23:43:01-0500

According to Graham's law of Effusion/diffusion


r1Mr\propto\sqrt\frac{1}{M}


Where r=r= Rate of effusion

M=M= Molar mass


Rate of effusion == Volumetime\frac{Volume}{time}


RateofHeRateofO2=MO2MHe\frac{Rate\>of\>He}{Rate\>of\>O_2}=\frac{M_{O_2}}{M_{He}}


10510T=324\frac{\frac{10}{5}}{\frac{10}{T}}=\sqrt\frac{32}{4}


T=14.14secondsT=14.14\>seconds


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